Study of the Differential Cross Sections of Deuteron Stripping Reactions as a Function of the Incident Energy

Angular distributions for the reactions ${\mathrm{C}}^{12}(d, p)$ and ${\mathrm{O}}^{16}(d, p)$ to the ground and first excited states of ${\mathrm{C}}^{13}$ and ${\mathrm{O}}^{17}$ have been obtained at deuteron energies of 10.2, 12.4, and 14.8 Mev. These results and those of previous experiments at other energies between 3 and 19 Mev are compared with the predictions of the usual plane-wave Born approximation theory, due originally to Butler. The assumption of plane waves leads to the prediction that the differential cross section is a function of energy and scattering angle only through the transfer momentum $q$: angular distributions at different energies should coincide when plotted vs $q$. It is found that this is only approximately true on the main stripping peak of the angular distribution; at larger angles the cross section is a more complicated function of energy and angle. Furthermore the stripping peak itself shifts as a function of $q$, principally in the deuteron energy range 10 to 19 Mev.